(4/5 #)/$3 = x/$10
x = (10/3)*(4/5 #) = 8/3 #
You can buy 8/3 pound for $10.
Answer:
- axis of symmetry: x = -3
- root: x = -3
Step-by-step explanation:
As indicated in the example shown, the axis of symmetry is the vertical line through the vertex. That is, its equation is ...
x = <x-coordinate of vertex>
Here, the x-coordinate of the vertex is -3, so the axis of symmetry is ...
x = -3
__
The roots are the x-intercepts, the x-values where the graph touches or crosses the x-axis. When the graph only touches the x-axis, there is only one root. Here, the x-value of the point where the graph touches the x-axis is x = -3.
The root is x = -3.
Let's find all the prime numbers.
1,3,5,7,9,11,13,15,17,19
They are not divisible by 2.
Put that into a fraction, where the amount of numbers is the numerator and the total amount of numbers is the denominator.
10/20
That is half of 20.
So, 50% of the 20 first natural numbers are prime.
I hope this helps!
~cupcake
To find out which equation has no real solutions, we need to calculate the discriminant for each of these given equations.
For calculating the discriminant, we need to first compare these equations with the general formula which is <u>ax²+bx+c.</u>
So, let's get started.
1) x² + 4x + 16 = 0
a=1, b=4, c=16
D = b²-4ac
= (4)² - 4(1)(16)
= 16-64
= -48
√D = √-48
2) 4x² + 4x - 24 = 0
a=4, b=4, c=-24
D = b²-4ac
= (4)² - 4(4)(-24)
= 16 - 16(-24)
= 16 + 384
= 400
√D = √400 = +20 or -20
3) 5x² + 3x - 1 = 0
a=5, b=3, c=-1
D = b²-4ac
= (3)² - 4(5)(-1)
= 9 + 20
= 29
√D = √29
4) 2x² - 4x + 4 = 0
a=2, b=-4, c=4
D = b²-4ac
= (-4)² - 4(2)(4)
= 16 - 32
= -16
√D = √-16
Now from all these above calculations, we can see that discriminant was negative in first equation and in last equation.
If D<0 then roots does not exist, as the square root can not contain a negative value or the equation does not have any real solutions.
Roots in such case can be calculated but those roots are known as imaginary roots, which is a higher concept.
So Final answer is,
Equation 1 => x² + 4x + 16 = 0
and
Equation 4 => 2x² - 4x + 4 = 0
has no real solutions.
25 days
First, start with an equation
100+8x= kittens weight
(X representing the days)
Since you’re trying to figure out the number of days it takes the kitten to triple it’s weigh you multiply it’s initial weight by 3 (100•3)
Then, you output 300 into the equation and solve
